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Applied ML | IU - Spring 2021


Course Topics

Classification

KNN

Crossfold Validation

Optimization

Root Finding

Gradient Descent

Analytical v. Numerical Optimization

Constrained Optimization

Convex Optimization

Regression

Linear Regression

Simple Linear Regression
Multiple Linear Regression
Brute-Force LR via Gradient Descent
LR via Normal Equation
LR via Gradient Descent (Numerical Optimization)
LR via Gradient Descent (graph form)

Extensions to Linear Regression

Gradient Descent
Polynomial Regression
Bias - Variance Tradeoff
Feature Selection
Ridge Regression Regularization
LASSO Regularization
Subset Selection

Probabilistic Approaches

Probability Review

Conditional Probabilities
Product Rule, Chain Rule, Bayes Rule

Bayes Nets & Naive Bayes

Learning, Independence, Conditional Indepenedence

Naive Bayes Derivation (discrete case plus smoothing)

Discrete inputs (Bernoulli, Multinomial)

Continuous Inputs

Logistic & Softmax Regression

Binomial Logistic Regression

Multinomial Logistic Regression

Linear Classifier, Hyperplane

Multinomial Logistic Regression Classifier (loss)

Softmax Classifiers